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22201121200 = 2452318920117
BaseRepresentation
bin10100101011010010…
…100011100110110000
32010022020022210220011
4110223102203212300
5330431441334300
614110555024304
71414110262606
oct245322434660
963266283804
1022201121200
119462a54a55
12437713b094
13212a70c70b
141108775876
1589e109eba
hex52b4a39b0

22201121200 has 120 divisors (see below), whose sum is σ = 55680186240. Its totient is φ = 8496998400.

The previous prime is 22201121179. The next prime is 22201121203. The reversal of 22201121200 is 212110222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22201121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093542 + ... + 1113658.

It is an arithmetic number, because the mean of its divisors is an integer number (464001552).

Almost surely, 222201121200 is an apocalyptic number.

22201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27840093120).

22201121200 is an abundant number, since it is smaller than the sum of its proper divisors (33479065040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22201121200 is a wasteful number, since it uses less digits than its factorization.

22201121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22201121200 its reverse (212110222), we get a palindrome (22413231422).

The spelling of 22201121200 in words is "twenty-two billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 89 100 124 155 178 200 248 310 356 400 445 496 620 712 775 890 1240 1424 1550 1780 2225 2480 2759 3100 3560 4450 5518 6200 7120 8900 11036 12400 13795 17800 20117 22072 27590 35600 40234 44144 55180 68975 80468 100585 110360 137950 160936 201170 220720 275900 321872 402340 502925 551800 623627 804680 1005850 1103600 1247254 1609360 1790413 2011700 2494508 3118135 3580826 4023400 4989016 6236270 7161652 8046800 8952065 9978032 12472540 14323304 15590675 17904130 24945080 28646608 31181350 35808260 44760325 49890160 55502803 62362700 71616520 89520650 111005606 124725400 143233040 179041300 222011212 249450800 277514015 358082600 444022424 555028030 716165200 888044848 1110056060 1387570075 2220112120 2775140150 4440224240 5550280300 11100560600 22201121200